is 3.14 irrational
Yes @tomtom777 as it is a terminating decimal and I can write it as : \(\cfrac{314}{100}\) , 314 and 100 belong to integers and 100 is not equal to zero. Which fulfills the condition of a rational number.
But are you talking about \(\pi\) ?
pi yes
can -0.321 be integer?
No! @tomtom777 as integers dont' contain decimals. They are whole like 1, -1,2 ..
thank you mathslover :)
\[\huge\frac{ 22 }{ 7 }\] is rational but pi is irrational
Now, pi is irrational because : \(\pi =\cfrac{ \textbf{circumference of the circle}}{\textbf{ diameter of the circle}}\) As we know that circumference of a circle can not be measured perfectly, so we have pi as irrational.
You can also prove that pi is irrational by contradiction. But that would be quite hard for you and leanthy also.
http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational You can see the proves there.
|dw:1364017479962:dw|
Join our real-time social learning platform and learn together with your friends!